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Search: id:A162723
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| A162723 |
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a(n) =9 a (n-1)-26 a(n-2) +24 a(n-3) (n >= 3) with a(0) =a(1)=1, a(2)=2. |
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1
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| 1, 1, 2, 16, 116, 676, 3452, 16276, 72956, 316276, 1340252, 5590036, 23054396, 94314676, 383578652, 1553331796, 6270493436, 25253701876, 101530450652, 407669649556, 1635323974076, 6555235693876, 26262769508252
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OFFSET
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0,3
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COMMENT
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The above sequence also satisfies a(n)-6 a(n-1)+8 a(n-2)=4*3^{n-2} (n >= 3) with a(0)= a(1)=1.
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FORMULA
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a(n)=7*2^(n-1)+3*2^(2*n-1)-4*3^n. G.f.: -(1-8*x+19*x^2)/((3*x-1)*(2*x-1)*(4*x-1)) [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 13 2009]
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CROSSREFS
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Sequence in context: A117628 A037564 A125725 this_sequence A159324 A088755 A136782
Adjacent sequences: A162720 A162721 A162722 this_sequence A162724 A162725 A162726
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KEYWORD
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nonn
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AUTHOR
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Tian-Xiao He (the(AT)iwu.edu), Jul 11 2009
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EXTENSIONS
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More terms from Vincenzo Librandi and R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 13 2009
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